What is the Greatest Common Factor of 99209 and 99220?

Greatest common factor (GCF) of 99209 and 99220 is 11.

GCF(99209,99220) = 11

We will now calculate the prime factors of 99209 and 99220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99209 and 99220.

How to find the GCF of 99209 and 99220?

We will first find the prime factorization of 99209 and 99220. After we will calculate the factors of 99209 and 99220 and find the biggest common factor number .

Step-1: Prime Factorization of 99209

Prime factors of 99209 are 11, 29, 311. Prime factorization of 99209 in exponential form is:

99209 = 11¹ × 29¹ × 311¹

Step-2: Prime Factorization of 99220

Prime factors of 99220 are 2, 5, 11, 41. Prime factorization of 99220 in exponential form is:

99220 = 2² × 5¹ × 11² × 41¹

Step-3: Factors of 99209

List of positive integer factors of 99209 that divides 99209 without a remainder.

1, 11, 29, 311, 319, 3421, 9019

Step-4: Factors of 99220

List of positive integer factors of 99220 that divides 99209 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 121, 164, 205, 220, 242, 410, 451, 484, 605, 820, 902, 1210, 1804, 2255, 2420, 4510, 4961, 9020, 9922, 19844, 24805, 49610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99209 and 99220. The biggest common factor number is the GCF number.
So the greatest common factor 99209 and 99220 is 11.

Also check out the Least Common Multiple of 99209 and 99220